GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Aug 2020, 03:07

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 65829
If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

Show Tags

Updated on: 08 Jul 2019, 00:09
00:00

Difficulty:

5% (low)

Question Stats:

99% (00:58) correct 1% (02:14) wrong based on 71 sessions

HideShow timer Statistics

If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

Source: Nova GMAT
Difficulty Level: 500

_________________

Originally posted by Bunuel on 01 Jun 2017, 11:15.
Last edited by SajjadAhmad on 08 Jul 2019, 00:09, edited 1 time in total.
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

Show Tags

Updated on: 01 Jun 2020, 08:33
Top Contributor
Bunuel wrote:
If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

$$\frac{7x^2 + 28x + 28}{(x + 2)^2} = \frac{7(x^2 + 4x + 4)}{(x + 2)^2}$$

$$= \frac{7(x + 2)^2}{(x + 2)^2}$$

$$= 7$$

_________________
If you enjoy my solutions, you'll love my GMAT prep course.

Originally posted by BrentGMATPrepNow on 01 Jun 2017, 11:45.
Last edited by BrentGMATPrepNow on 01 Jun 2020, 08:33, edited 1 time in total.
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2493
Concentration: Operations, Strategy
Schools: Erasmus
Re: If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

Show Tags

01 Jun 2017, 11:54
Bunuel wrote:
If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

$$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$$$\frac{7(x^2 + 4x + 4)}{(x^2 + 4x + 4)} =$$7

GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
Re: If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

Show Tags

01 Jun 2017, 12:03
Top Contributor
Bunuel wrote:
If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

Another approach:

Plug in a nice value for x and evaluate the expression.
A super nice x-value is x = 0

We get: $$\frac{7(0^2) + 28(0) + 28}{(0 + 2)^2} = \frac{28}{2^2}$$

$$= \frac{28}{4}$$

$$= 7$$

still A

_________________
If you enjoy my solutions, you'll love my GMAT prep course.

Re: If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =   [#permalink] 01 Jun 2017, 12:03

If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne